Expand (x + 4)(x + 3).

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Master the Certify Teacher EC-6 (391) Mathematics Test. Use flashcards and multiple choice questions with explanations. Boost your confidence and excel in your exam!

Multiple Choice

Expand (x + 4)(x + 3).

Explanation:
Expanding a product of two binomials uses FOIL: multiply the first terms, the outer terms, the inner terms, and the last terms, then combine like terms. For (x + 4)(x + 3), multiply x by x to get x^2, x by 3 to get 3x, 4 by x to get 4x, and 4 by 3 to get 12. Combine the x-terms: 3x + 4x = 7x. Put it together: x^2 + 7x + 12. The middle term is 7x because the cross terms add to 7x, and the constant term is 12 from 4 times 3.

Expanding a product of two binomials uses FOIL: multiply the first terms, the outer terms, the inner terms, and the last terms, then combine like terms. For (x + 4)(x + 3), multiply x by x to get x^2, x by 3 to get 3x, 4 by x to get 4x, and 4 by 3 to get 12. Combine the x-terms: 3x + 4x = 7x. Put it together: x^2 + 7x + 12. The middle term is 7x because the cross terms add to 7x, and the constant term is 12 from 4 times 3.

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